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Two remote parties, Alice and Bob initially share some non-maximally entangled states. Through the entanglement concentration by local operation and classical communication(LOCC), they may obtain an outcome of maximally entangled states in…

量子物理 · 物理学 2009-11-10 Wang Xiang-bin , Fan Heng

We introduce two operational entanglement measures which are applicable for arbitrary multipartite (pure or mixed) states. One of them characterizes the potentiality of a state to generate other states via local operations assisted by…

量子物理 · 物理学 2015-10-14 K. Schwaiger , D. Sauerwein , M. Cuquet , J. I. de Vicente , B. Kraus

Ordering physical states is the key to quantifying some physical property of the states uniquely. Bipartite pure entangled states are totally ordered under local operations and classical communication (LOCC) in the asymptotic limit and…

量子物理 · 物理学 2010-05-17 Fumiaki Morikoshi , Marcelo Franca Santos , Vlatko Vedral

A standard approach to quantifying resources is to determine which operations on the resources are freely available, and to deduce the partial order over resources that is induced by the relation of convertibility under the free operations.…

In this work (multipartite) entanglement, discord and coherence are unified as different aspects of a single underlying resource theory defined through simple and operationally meaningful elemental operations. This is achieved by revisiting…

量子物理 · 物理学 2018-07-11 Dario Egloff , Juan Mauricio Matera , Thomas Theurer , Martin Bodo Plenio

The concept of local concurrence is used to quantify the entanglement between a single qubit and the remainder of a multi-qubit system. For the ground state of the BCS model in the thermodynamic limit the set of local concurrences…

量子物理 · 物理学 2009-11-10 Clare Dunning , Jon Links , Huan-Qiang Zhou

Absolutely Maximally Entangled (AME) states are maximally entangled for every bipartition of the system. They are crucial resources for various quantum information protocols. We present techniques for verifying either two AME states are…

量子物理 · 物理学 2020-08-26 Adam Burchardt , Zahra Raissi

Several convenient formulae for the entanglement of two indistinguishable delocalised spin-1/2 particles are introduced. This generalizes the standard formula for concurrence, valid only in the limit of localised or distinguishable…

介观与纳米尺度物理 · 物理学 2009-11-11 A. Ramsak , I. Sega , J. H. Jefferson

We address some of the most commonly raised questions about entanglement, especially with regard to so-called occupation number entanglement. To answer unambiguously whether entanglement can exist in a one-atom delocalized state, we propose…

量子物理 · 物理学 2007-05-23 M. O. Terra Cunha , J. A. Dunningham , V. Vedral

Entanglement is defined as presence of quantum correlations beyond those achieved by local action and classical communication. To identify its presence in a generic state, one can, for example, check for existence of a decomposition of…

量子物理 · 物理学 2024-07-19 Marcin Wieśniak

We studied pure state transformations using local operations assisted by finitely many rounds of classical communication ($LOCC_{\mathbb{N}}$) in C. Spee, J.I. de Vicente, D. Sauerwein, B. Kraus, arXiv:1606.04418 (2016). Here, we first of…

量子物理 · 物理学 2017-02-01 J. I. de Vicente , C. Spee , D. Sauerwein , B. Kraus

Genuine-multipartite-entanglement (GME) concurrence is a measure of genuine multipartite entanglement that generalizes the well-known notion of concurrence. We define an observable for GME concurrence. The observable permits us to avoid…

量子物理 · 物理学 2012-09-26 Zhi-Hua Chen , Zhi-Hao Ma , Jing-Ling Chen , Simone Severini

We exactly evaluate a number of multipartite entanglement measures for a class of graph states, including d-dimensional cluster states (d = 1,2,3), the Greenberger-Horne-Zeilinger states, and some related mixed states. The entanglement…

量子物理 · 物理学 2007-07-10 Damian Markham , Akimasa Miyake , Shashank Virmani

Invertible local transformations of a multipartite system are used to define equivalence classes in the set of entangled states. This classification concerns the entanglement properties of a single copy of the state. Accordingly, we say…

量子物理 · 物理学 2009-11-06 W. Dür , G. Vidal , J. I. Cirac

We study how multi-partite entanglement evolves under the paradigm of separable operations, which include the local operations and classical communication (LOCC) as a special case. We prove that the average "decay" of entanglement induced…

量子物理 · 物理学 2012-11-08 Vlad Gheorghiu , Gilad Gour

We provide a first operational method for checking indistinguishability of orthogonal states by local operations and classical communication (LOCC). This method originates from the one introduced by Ghosh et al. (Phys. Rev. Lett. 87, 5807…

量子物理 · 物理学 2009-10-20 Michal Horodecki , Aditi Sen De , Ujjwal Sen , Karol Horodecki

In this paper we use the \textit{concurrence vector}, as a measure of entanglement, and investigate lower and upper bounds on the concurrence of a superposition of bipartite states as a function of the concurrence of the superposed states.…

量子物理 · 物理学 2016-04-19 Seyed Javad Akhtarshenas

Despite the apparent similarity between shared randomness and shared entanglement in the context of Communication Complexity, our understanding of the latter is not as good as of the former. In particular, there is no known "entanglement…

量子物理 · 物理学 2022-03-29 Dmytro Gavinsky

It is shown that local distinguishability of orthogonal mixed states can be completely characterized by local distinguishability of their supports irrespective of entanglement and mixedness of the states. This leads to two kinds of upper…

量子物理 · 物理学 2012-04-20 Somshubhro Bandyopadhyay

Suppose a set of $m$-partite, $m\geq3$, pure orthogonal fully separable states is given. We consider the task of distinguishing these states perfectly by local operations and classical communication (LOCC) in different $k$-partitions,…

量子物理 · 物理学 2020-01-14 Saronath Halder , Ritabrata Sengupta